8 gal to 9 1/3 gal write ratio in lowest form with whole numbers in numerator and denominator

Answers

Answer 1

Answer:

[tex]\bold{\dfrac{6}{7}}[/tex]

Step-by-step explanation:

Given ratio is:

8 gal to [tex]9\frac{1}3[/tex] gal

To find:

Ratio in Lowest form with whole numbers in numerator and denominator.

Solution:

First of all, let us convert [tex]9\frac{1}3[/tex] to simple [tex]\frac{p}{q}[/tex] form:

Formula:

[tex]a\dfrac{b}{c} = \dfrac{a\times c+b}c[/tex]

Using the formula, we get:

[tex]9\dfrac{1}{3} = \dfrac{9\times 3+1}{3} = \dfrac{28}{3}[/tex]

Now, let us have a look at the ratio:

[tex]8 : \dfrac{28}{3}[/tex]

Any ratio, [tex]p:q[/tex] can be written as [tex]\frac{p}{q}[/tex].

Writing given ratio as per above:

[tex]\dfrac{8}{\dfrac{28}{3}}\\\Rightarrow \dfrac{8 \times 3}{28}\\\Rightarrow \dfrac{2\times 3}{7}\\\Rightarrow \bold{\dfrac{6}{7}}[/tex]

Therefore, the answer is

[tex]\bold{\dfrac{6}{7}}[/tex]


Related Questions

Amanda and her best friend found some money buried in a field. They split the money evenly, each getting $24.28. How much money did they find?

Answers

So there’s 2 people, each getting 24.28. Multiply 24.28 by 2 to get $48.56

Answer:

This is a simple multiplication problem.

If 2 people, Amanda and her best friend divide evenly and each get $24.28, this means that the total is $24.28 x 2

$24.28 x 2

$48.56

I'm sorry if I misunderstood.

Good luck mate! :)

Please add Brainliest if you'd like, not that it matters.

Remember to try your best every day!

Jim works overtime to save $500 per month for a pickup truck. The savings account Jim uses earns him 5% interest, compounded monthly. In two years, Jim will have in savings. He will have earned in interest on his savings.

Answers

Answer:

$1615

Step-by-step explanation:

500(1+.05/1)^24

500(1+.05)^24

500*1.05^24

500*3.23

1615

(3n+2)(2n–3) find the product simplified

Answers

Answer:

6n2−5n−6

Step-by-step explanation:

Answer:

6n^2-5n-6           (btw "6n^2" means its 6n squared )

Step-by-step explanation:

Use the box Method. (Picture shows the box method)

once your done the simplified answer should be 6n^2-5n-6

Simplify the exponential expres
5.52

Answers

Answer:

6.5

Step-by-step explanation:

5.5x5.5= 30.25.        30.25 divide 30 and 25 by 5 then you get 6.5

10 points! Select the correct answer. Simplify: 6 ÷ 3 + 32 · 4 − 2 A. 22 B. 42 C. 98 D. 36

Answers

Answer:

128

Step-by-step explanation:

6 / 3 + 32 * 4 - 2.

We first calculate 6/3 and 32 * 4:

6 / 3 = 2

32 * 4  = 128

Our expression then becomes 2 + 128 - 2.

We can evaluate, getting 128.

Answer:

36

Step-by-step explanation:

6 ÷ 3 + 3^2 · 4 − 2

= 2 + 9 · 4 - 2

= 2 + 36 - 2

= 38 - 2

= 36

Hey I need help anyone willing to help me please . Need help on 3 and 4

Answers

Answer:

Please see the attached images for full solution.

For question 3, the equation could have also been 3x°= 90°. However, I used ∠ sum of △ since I didnt want to assume that ∠ABC is a right angle.

Likewise for Q4, the polygon looks like a trapezium which means that the 2 horizontal lines are parallel and one could conclude that (3x +3)° +(2x +2)°= 180° (int. ∠s). But since it wasn't clearly indicated that they are parallel, I used the sum of interior angles to find x instead.

Solving Equations Study Guide
19.) Nick opens a savings account with $50. Each week after, he deposits $15. In how
many weeks will he have saved $500?
Step 1: Underline any key information
Step 2: Define your variable.
Step 3: Write an equation
Step 4: Solve the equation:
Step 5: Answer in a complete sentence

Answers

Answer:

He took 30 weeks to save $ 500

Step-by-step explanation:

Let 'x' be the number of weeks

Money deposited after each week = $ 15

Money deposited 'x' weeks = 15 * x = 15x

Opening balance in his account = $50

So, money that will be in his account after x weeks =  50 +15x

Total money in the bank = $500

50 + 15x = 500

       15 x = 500 - 50 { Subtract 50 from both sides}

        15x = 450   { Divide both sides by 15}

     15x/15 = 450/15

x =  30 weeks

are integers rational numbers​

Answers

Answer:

yes

Step-by-step explanation:

Here's a chart that should help explain things a bit better.

Q1. when 3b-4a is evaluated for a=0.5 and b=-0.333333333. what is the answer?

Q2. solution for equation
5(x+1)-3(3x-1)=15(x-2)

Q3. which is not equivalent to 4(2x-1)=3(x+1)-2
A. (2)
B. (-2)
C. (0)
D. (-3)


Q4. if a<0 and b<0 which of the following is not positive
A. ab
B. a+b
C. a÷b
D. a.a
E. a:a

Answers

Answer:

See below

Step-by-step explanation:

Q1. when 3b-4a is evaluated for a=0.5 and b=-0.333333333. what is the answer?

[tex]3b-4a, a=0.5 \text{ and } b=-0.333333...[/tex]

Once

[tex]$-0.3333333... = -\frac{1}{3} \text{ and } 0.5=\frac{1}{2} $[/tex]

[tex]$3\cdot \left(-\frac{1}{3}\right) - 4 \cdot \frac{1}{2} = -1 - 2 =\boxed{-3}$[/tex]

Q2. solution for equation  

[tex]5(x+1)-3(3x-1)=15(x-2)[/tex]

[tex]5x+5-9x+3 = 15x-30[/tex]

[tex]-4x+8 = 15x-30[/tex]

[tex]38 = 19x[/tex]

[tex]$x=\frac{38}{19} = \boxed{2}$[/tex]

Q3. which is not equivalent to [tex]4(2x-1)=3(x+1)-2[/tex]

Just try all the values.

None of them makes the equation equivalent.

[tex]8x-4=3x+1-2[/tex]

[tex]5x=5[/tex]

[tex]\boxed{x=1}[/tex]

Q4. if a<0 and b<0 which of the following is not positive

B. a+b

[tex]a<0 \implies \text{a is negative}[/tex]

[tex]b<0 \implies \text{b is negative}[/tex]

[tex]a \cdot b \implies \text{positive value}[/tex]

[tex]$\frac{a}{b} \implies \text{positive number}$[/tex]

[tex]a:b \text{ is just another notation for division}[/tex]

[tex]a+b \implies \text{negative number}[/tex]

Helppp asap I’m so confused

Answers

The answer to this question is A

Answer:

58

Step-by-step explanation:

If k = 6 and j = 2 all you have to do is plug in the numbers

So

5 x 6 x 2 - 2

and then you think of PEMDAS

so multiplication comes first  so

5 x 6 x2 = 60 and then

60 - 2 = 58

You use it to form general ideas and rules based on your experiences and ______.

Answers

Answer:

You use it to form general ideas and rules based on your experiences and observations

Evaluate if x = 3, y = 4, and z = 5.*
6(r + y) =
I need help

Answers

Answer:

if y=4.then 6(r+4).

which is 6r+24.

and if it is equal to zero which is like this then it will be 6r+24=0.

which will be 6r=-24.

r= -24/6.

r= -4.

solve each question -15=7n+8n=

Answers

Answer:

-15 = 7n + 8n

-15 = 15n

n = -1

plz brainlist me I need it

Answer:

n = - 1

Step-by-step explanation:

- 15 = 7n + 8n

15n = - 15

n = - 15 : 15

n = - 1

At ​$1.22 million​, they closed last month for...20 percent above what they paid in​ 2007." How much did they pay in​ 2007

Answers

Answer:

$1.02 million

Step-by-step explanation:

Given

[tex]Amount = \$1.22\ million[/tex]

[tex]\%\ increase = 20\%[/tex]

Required

Determine the amount in 2007

Let the amount in 2007 be represented with x.

The relationship between these parameters is:

[tex]1.22\ million = x + 20\%\ of\ x[/tex]

[tex]1220000 = x + 20\% * x[/tex]

[tex]1220000 = x + 0.20* x[/tex]

[tex]1220000 = x + 0.20x[/tex]

[tex]1220000 = 1.20x[/tex]

Divide both sides by 1.20

[tex]\frac{1220000}{1.20} = x[/tex]

[tex]1016666.67 = x[/tex]

[tex]x = 1016666.67[/tex]

Hence, they paid $1.02 million in 2007

On a certain day, the temperature changed at a rate of -3F per hour. How long did it take for the change in temperature to be -33F

Answers

Answer:

11 hours

Step-by-step explanation:

To find how many hours it took, divide -33 by -3

-33/-3

= 11

So, it took 11 hours for the change to be -33°F

Albert Works at a farmers market. he recently sold 18 pieces of fruit, 6 or witch were oranges. what is the experimental probability that the nest piece of fruit Albert sells will be an orange?

Answers

Answer:   [tex]\dfrac{1}{3}[/tex].

Step-by-step explanation:

Experimental probability = [tex]\dfrac{favorable\ outcomes}{Total\ outcomes}[/tex]

Given: Total pieces of fruit = 18  (Total outcomes)

Number of oranges = 6 (Favorable )

Then, the experimental probability that the nest piece of fruit Albert sells will be an orange = [tex]\dfrac{6}{18}[/tex]   [By formula of experimental probability]

[tex]=\dfrac{1}{3}[/tex]

Hence, the required probability is [tex]\dfrac{1}{3}[/tex].

2 5/7+4 3/5= help please

Answers

Answer:

[tex]7\frac{11}{35}[/tex]

Step-by-step explanation:

[tex]2\frac{5}{7}+4\frac{3}{5}[/tex]

add the whole numbers

[tex]2+4=6[/tex]

combine the fractions

[tex]\frac{5}{7}+\frac{3}{5}[/tex]

LCM is 35 because 7 * 5 =35

[tex]\frac{5}{7}=\frac{5\cdot \:5}{7\cdot \:5}=\frac{25}{35}[/tex]

[tex]\frac{3}{5}=\frac{3\cdot \:7}{5\cdot \:7}=\frac{21}{35}[/tex]

[tex]\frac{25}{35}+\frac{21}{35}=\frac{25+21}{35}[/tex]

[tex]=\frac{46}{35}[/tex]

change the improper fraction into mixed number

[tex]6+1\frac{11}{35}[/tex]

[tex]=7\frac{11}{35}[/tex]

What is the constant of proportionality? ​

Answers

Answer:

3.5

Step-by-step explanation:

The constant of proportionality is the slope of the line

slope = [tex]\frac{rise}{run}[/tex] = [tex]\frac{3.5}{1}[/tex] = 3.5

Answer:

3.5

Step-by-step explanation:

Simplify the expression.
16-4 [3+2 divide (9-7)]

Answers

Answer:

0

Step-by-step explanation:

16-4 (3+2÷2)

16-4 (3+1)

16-4×4

16-16

0 ans.

hey please help, thank you!!

Answers

Answer:

D

Step-by-step explanation:

So we have the equation:

[tex]A=\frac{1}{2}(12)(3+7)[/tex]

And we want to find out which of the answer choices is not equivalent.

Thus, let's go through each of the choices.

A)

We have:

[tex]\frac{12(3+7)}{2}[/tex]

This is correct.

Our original equation can be written as:

[tex]A=\frac{1}{2}(\frac{12(3+7)}{1})[/tex]

And if we multiply straight across:

[tex]A=\frac{12(3+7)}{2}[/tex]

We'll get choice A. So choice A is correct.

B)

We have:

[tex]6(3+7)[/tex]

This is also correct.

From our original equation:

[tex]A=\frac{1}{2}(12)\cdot(3+7)[/tex]

If we multiply the first term together:

[tex]A=6(3+7)[/tex]

We'll get choice B. So, choice B is correct.

C)

We have:

[tex]0.5(12)(10)[/tex]

This is correct as well.

If we reduce 1/2 to decimal form and add the operations within the parentheses in the original equation, we will get:

[tex]A=\frac{1}{2}(12)(3+7)\\A=0.5(12)(10)[/tex]

So, C is also correct.

D)

We have:

[tex]\frac{12}{2}\times\frac{10}{2}[/tex]

Note that this is not correct.

This attempted to use the distributive property. However, the distribute property does not work for multiplication. For instance:

[tex]3(2+1)\text{ indeed equals } 3(2)+3(1)[/tex]

However:

[tex]3(2\times1)\text{ does not equal} 3(2)\times3(1)[/tex]

So, choice D is not equivalent.

So choice D is our answer :)

If we evaluate it, we will get 30, in contrast to the 60 of the others.

Solve Quadratic Equations by Factoring: Solve by factoring and using the Zero Product Property: 1. X^2-25=0 2. X^2=1=0 3. X^2=x+20 WILL MARK BRAINLIEST!!

Answers

Answer:

1. [tex]x = \pm 5[/tex]

2. [tex]x = \pm i[/tex]

3. [tex]x = 5, -4[/tex]

Step-by-step explanation:

1.

[tex]x^2-25=0[/tex]

[tex]x^2 = 25[/tex]

[tex]x = \pm \sqrt{25}[/tex]

[tex]x = \pm 5[/tex]

2.

[tex]x^2 + 1 = 0[/tex]

[tex]x^2 = -1[/tex]

[tex]x = \pm \sqrt{x-1}[/tex]

[tex]x = \pm i[/tex]

3.

[tex]x^2=x+20[/tex]

[tex]x^2 - x - 20 = 0[/tex]

[tex](x-5)(x+4)=0[/tex]

[tex]x = 5, -4[/tex]

Need help answering this question

Answers

Answer:

x=13

Step-by-step explanation:

[tex]g(x)=-4\\[/tex]

Therefore, substituting the value in the equation

[tex]g(x)=\sqrt{x+3} -8\\=>-4=\sqrt{x+3}-8\\ =>-4+8=\sqrt{x+3} \\=>4=\sqrt{x+3}\\[/tex]

Squaring both sides,

[tex]=>4^{2}=\sqrt{(x+3)} ^{2}\\=>16=x+3 \\=> x=16-3\\\\=>x=13[/tex]

y varies inversely with x, y=12 when x=7. Find y when x =10. Picture attached, 15 points and I'll give Brainliest! Due in two hours.

Answers

Answer:

y=8.4

Step-by-step explanation:

inverse proportion means y=k/x

k is the constant

y=12, x=7

k=xy ⇒7*12=84

y=84/x

y=84/10

y=8.4

As y varies inversely with x the value of y is 42/5 when x is 10.

What are ratio and proportion?

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, y varies inversely with x.

∴ y = k/x.

12 = k/7.

k = 84.

Now, x = 10.

∴ y = 84/10.

y = 42/5.

learn more about proportion here :

https://brainly.com/question/7096655

#SPJ2

Greyson is playing a game. If he picks a red marble he earns 3 points. If he picks a blue marble, he loses 4 points. How many points does Greyson have at the end of 6 turns if he
picks : red, red, blue, blue, blue, red?

Answers

Answer:

the answer would be -3 because you would do 9-12 which would be -3

WILL GIVE BRAINLIEST The figure below shows a shaded region and a nonshaded region. Angles in the figure that appear to be right angles are right angles. (Click on the picture below) Part A: What is the area, in square feet, of the shaded region? Part B: What is the area, in square feet, of the nonshaded region?

Answers

Answer:  

part 1 : 41f[tex]t^{2}[/tex]

part 2: 87f[tex]t^{2}[/tex]

Step-by-step explanation:

part 1 : 8*2=16      1*10=10         10*3*1/2 = 15

16+10+15= 41f[tex]t^{2}[/tex]

part 2:      16*2= 32         2*8= 16            1*6=6         3*6=18    10*3*1/2 =15

32+16+6+18+15= 87f[tex]t^{2}[/tex]

Identify the vertical angles

Answers

Answer:

a and c are vertical angles

b and d are vertical angles

Step-by-step explanation:

Vertical angles are angles formed from the same lines, sharing the same vertex and opposite each other

a and c are vertical angles

b and d are vertical angles

Answer:

a and c are vertical angles

b and d are vertical angle

Step-by-step explanation:

Help me, please... Which two numbers on the number line have an absolute value of 2.75? Select the location of both numbers on the number line.

Answers

Answer:

2.75, and - 2.75

Step-by-step explanation:

Both have an absolute value of 2.75 which is how far away they are from 0.

Hope this helped!

what is the answer to 8^-2 =

Answers

Answer:

[tex]\huge\boxed{8^{-2}=\dfrac{1}{64}}[/tex]

Step-by-step explanation:

[tex]a^{-n}=\dfrac{1}{a^n}\Rightarrow 8^{-2}=\dfrac{1}{8^2}=\dfrac{1}{8\cdot8}=\dfrac{1}{64}[/tex]

other examples:

[tex]3^{-1}=\dfrac{1}{3^1}=\dfrac{1}{3}\\\\4^{-3}=\dfrac{1}{4^3}=\dfrac{1}{4\cdot4\cdot4}=\dfrac{1}{64}\\\\\left(\dfrac{1}{3}\right)^{-2}=3^2=3\cdot3=9\\\\\left(\dfrac{2}{5}\right)^{-3}=\left(\dfrac{5}{2}\right)^3=\dfrac{5^3}{2^3}=\dfrac{125}{8}[/tex]

Answer:

The answer is

Step-by-step explanation:

15/44

A
5
B
3
4
С
Find tan(B) in the triangle.

Answers

Answer:

Step-by-step explanation:The tangent of an angle is the trigonometric ratio between the adjacent side and the opposite side of a right triangle containing that angle. Example: In the triangle shown, tan(A)=68 or 34 and tan(B)=86 or 43 .

Given two sides

if leg a is the missing side, then transform the equation to the form when a is on one side, and take a square root: a = √(c² - b²)

if leg b is unknown, then. b = √(c² - a²)

for hypotenuse c missing, the formula is. c = √(a² + b²)

Answer:

it’s 3/4

Step-by-step explanation:

it’s right for khan (trigonometric ratios in right triangles)

Translate “four more than twice a number is equal to six less than three times a number”

Answers

Answer:

[tex]2n + 4 = 3n - 6[/tex]

Step-by-step explanation:

In order to translate from words into equarion, we just have to know what means what.

Twice a number can be represented as [tex]2n[/tex], adding four to that is [tex]2n + 4[/tex].

3 times a number is [tex]3n[/tex], and 6 less than that is [tex]3n-6[/tex].

So these are equal to each other, we get [tex]2n + 4 = 3n - 6[/tex].

Hope this helped!

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